(a) To check for the equality of the population variances, calculate the sample
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Question
(a) To check for the equality of the population variances, calculate the sample variance for the data set given and plot against the corresponding mean.(b) If there is assumption violation, perform one of the transformations described earlier and do the ANOVA procedure for the transformed data. (a) To check for the equality of the population variances, calculate the sample variance for the data set given and plot against the corresponding mean.
(b) If there is assumption violation, perform one of the transformations described earlier and do the ANOVA procedure for the transformed data. 10.3.11. Table 10.3.7 gives mean serum cholesterol levels (given in milligrams per deciliter) by race and age for the adult population in the United States between 1978 and 1980 (source: "Report of the National Cholesterol Education Program Expert Panel on Detection, Evaluation, and Treatment of High Blood Cholesterol in Adults," Arch. Intern. Med. 148, January 1988) Test at the 0.01 level whether the true mean cholesterol levels for adult population in the United States between 1978 and 1980 are the same.
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a) The procedure is to find the sample mean for al the different years aged population and then compare it on the multiple mean tests with the hypothesis that u1=u2=u3=u4=u5=u6 and the other hypothesis being at least one of them not being equal. Then, multiple ANOVA can be applied.
b) The violation can be checked in terms of the R coefficient and then the respective data can be excluded to do the above procedure again.
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